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Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights

dc.contributor.authorHaskovec, Jan
dc.date.accessioned2022-05-15T07:11:28Z
dc.date.available2022-05-15T07:11:28Z
dc.date.issued2022-04-25
dc.identifier.citationHaskovec, J. (2022). Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights. Journal of Mathematical Analysis and Applications, 514(1), 126261. https://doi.org/10.1016/j.jmaa.2022.126261
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.doi10.1016/j.jmaa.2022.126261
dc.identifier.urihttp://hdl.handle.net/10754/677908
dc.description.abstractWe derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with nonsymmetric interaction weights. The condition prescribes smallness of the delay length relative to the decay rate of the inter-agent communication weight. The proof is carried out by a bootstrapping argument combining a decay estimate for the group velocity diameter with a variant of the Gronwall-Halanay inequality.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0022247X2200275X
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, [514, 1, (2022-04-25)] DOI: 10.1016/j.jmaa.2022.126261 . © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleFlocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.identifier.journalJournal of Mathematical Analysis and Applications
dc.rights.embargodate2024-04-25
dc.eprint.versionPost-print
dc.identifier.volume514
dc.identifier.issue1
dc.identifier.pages126261
dc.identifier.arxivid2108.03725
kaust.personHaskovec, Jan
dc.identifier.eid2-s2.0-85129276754


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